A FREE BOUNDARY ISOPERIMETRIC PROBLEM IN HYPERBOLIC 3-SPACE BETWEEN PARALLEL HOROSPHERES

dc.creatorCHAVES, Rosa Maria Barreiro
dc.creatorSILVA, Marcio F. da
dc.creatorPEDROSA, Renato H. L.
dc.date2010
dc.date2013-07-26T17:59:39Z
dc.date2016-06-30T18:28:27Z
dc.date2013-07-26T17:59:39Z
dc.date2016-06-30T18:28:27Z
dc.date.accessioned2018-03-29T01:53:01Z
dc.date.available2018-03-29T01:53:01Z
dc.identifierPACIFIC JOURNAL OF MATHEMATICS, v.244, n.1, p.1-20, 2010
dc.identifier0030-8730
dc.identifierhttp://apps.isiknowledge.com/InboundService.do?Func=Frame&product=WOS&action=retrieve&SrcApp=EndNote&UT=000273148200001&Init=Yes&SrcAuth=ResearchSoft&mode=FullRecord
dc.identifierhttp://apps.isiknowledge.com/InboundService.do?Func=Frame&product=WOS&action=retrieve&SrcApp=EndNote&UT=000273148200001&Init=Yes&SrcAuth=ResearchSoft&mode=FullRecord
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/1098
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/1098
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1308301
dc.descriptionWe investigate the isoperimetric problem of finding the regions of prescribed volume with minimal boundary area between two parallel horospheres in hyperbolic 3-space (the part of the boundary contained in the horospheres is not included). We reduce the problem to the study of rotationally invariant regions and obtain the possible isoperimetric solutions by studying the behavior of the profile curves of the rotational surfaces with constant mean curvature in hyperbolic 3-space. We also classify all the connected compact rotational surfaces M of constant mean curvature that are contained in the region between two horospheres, have boundary partial derivative M either empty or lying on the horospheres, and meet the horospheres perpendicularly along their boundary.
dc.description244
dc.description1
dc.description1
dc.description20
dc.languageeng
dc.publisherPACIFIC JOURNAL MATHEMATICS
dc.publisherEstados Unidos
dc.relationPacific Journal of Mathematics
dc.rightsaberto
dc.rightsCopyright PACIFIC JOURNAL MATHEMATICS
dc.sourceWOS
dc.subjectconstant mean curvature surfaces
dc.subjecthyperbolic space
dc.subjectisoperimetric problem
dc.subjectCONSTANT MEAN-CURVATURE
dc.subjectHYPERSURFACES
dc.subjectSTABILITY
dc.subjectSPACE
dc.subjectSURFACES
dc.subjectMathematics
dc.titleA FREE BOUNDARY ISOPERIMETRIC PROBLEM IN HYPERBOLIC 3-SPACE BETWEEN PARALLEL HOROSPHERES
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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